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一般单调依赖度量的渐近分布AI 解读

In this paper the asymptotic normality of a class of statistics, including Gini's index of cograduation and Spearman's rank correlation coefficient, is proved. The asymptotic normality is stated under a large class of alternatives including the bivariate distributions corresponding to a condition of lack of association introduced in Section 3. The problems of testing the hypothesis of lack of association and of constructing confidence intervals for the population index of…

相容统计推断与贝叶斯定理AI 解读

Conditions are given which suffice for the assessment of a coherent inference by means of a Bayesian algorithm, i.e., a suitable extension of the classical Bayes theorem relative to a finite number of alternatives. Under some further hypotheses such inference is shown to be, in addition, coherent in the sense of Heath, Lane and Sudderth. Moreover, a characterization of coherent posteriors is provided, together with some remarks concerning finitely additive conditional…

德菲内蒂的协调性原则与统计推断AI 解读

The main concerns of this paper are the definition of coherent inference (dF-coherent inference) in conformity with a theory of conditional probabilities derived from de Finetti's coherence principle, and a critical comparison of such a definition with one proposed by Heath, Lane and Sudderth.